Information on Result #852778
Linear OOA(9110, 385, F9, 2, 36) (dual of [(385, 2), 660, 37]-NRT-code), using OOA 2-folding based on linear OA(9110, 770, F9, 36) (dual of [770, 660, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(9110, 771, F9, 36) (dual of [771, 661, 37]-code), using
- construction XX applied to C1 = C([70,101]), C2 = C([66,94]), C3 = C1 + C2 = C([70,94]), and C∩ = C1 ∩ C2 = C([66,101]) [i] based on
- linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {70,71,…,101}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(979, 728, F9, 29) (dual of [728, 649, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,94}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,101}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {70,71,…,94}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(99, 27, F9, 6) (dual of [27, 18, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), using
- construction XX applied to C1 = C([70,101]), C2 = C([66,94]), C3 = C1 + C2 = C([70,94]), and C∩ = C1 ∩ C2 = C([66,101]) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.